Could you be thinking of staunch?
Stop or restrict (a flow of blood) from a wound.
- ‘he staunched the blood with whatever came to hand’
- figurative ‘the company did nothing to staunch the tide of rumours’
This study from Oxford Scholarship Online named Staunching the Flow - The Brain Drain and Health Professional Retention Strategies in South Africa
South Africa has experienced a major outflow of health professionals since the end of apartheid in 1994 and this brain drain has led to a significant decline in the quality of healthcare across the country’s health institutions. This chapter provides a critical assessment of South Africa’s health professional retention strategies and asks if these have led to any significant shifts in the emigration intentions of highly skilled health professionals (medical doctors and specialists, dentists and pharmacists). The chapter provides an overview of the scale of the brain drain from the country and the emigration intentions of those still there and in training. It then examines the various strategies that the government has adopted to staunch the flow.
The Telegraph published an article on 4 April 2017 - Saharan tribal chiefs pledge to stop flow of migrants heading for Europe via Libya
Tribal leaders in the Sahara have pledged to stop the flood of migrants trying to reach the Mediterranean coast of Libya, in return for aid and development from Europe.
Italy was the unwilling recipient of 181,000 migrants last year and has spearheaded efforts to halt the exodus of dinghies and boats leaving the Libyan coast.
In the latest initiative, around 60 chieftains from the southern deserts of Libya were brought together in Rome to thrash out a peace deal between warring tribes and find a way to staunch the human trafficking.
In terms of young and not-so-young talent abandoning their native country in search of “greener pastures”, this is informally referred to as "the brain drain"
The emigration of highly trained or qualified people from a particular country.
- ‘a leading British team of chemists has joined the brain drain to the United States’
Five years ago Techcrunch published an article about the brain drain at HTC - HTC Can’t Stanch The Flow Of Departing Senior Talent As Internal Turmoil Prevails
US English spells the word as "stanch", probably to distinguish it from the other meaning of "staunch". According to Merriam-Webster
one of these words is more commonly used as an adjective, and the other one is more commonly used as a verb. Staunch is more often found as an adjective (it has several meanings in this role, including “watertight,” “substantial,” and “steadfast in loyalty or principle”). Stanch more often will be found used as a verb.
Some people will tell you that you should always keep these words apart, and if you’d like to do this you may find the following sentence of some assistance in helping you to remember the difference: “A staunch friend would help me stanch my bleeding leg, and not spend all his time guzzling cocktails.”
Columbia Journalism Review discusses these differences further, however, they do say
The granddaddy of dictionaries, The Oxford English Dictionary, simply lists “staunch” and “stanch” in a single entry, reflecting common British usage of either spelling as noun and verb.
Grammarist, Grammarphobia, Daily Writing Tips,antimoon, Analytical Grammar/Grammar Planet, and Professor Paul Brains from Washington State University on his blog brains.wsu.edu also weigh in on the "stanch vs staunch" debate.
An article published on MSN yesterday contains the "staunch the braindrain" phrase in the url
https://www.msn.com/zh-hk/news/other/taiwan-may-expand-citizenship-to-southeast-asia-to-staunch-brain-drain-to-the-mainland/ar-AAAyElu however the aricle itself omits the phrase - Taiwan mulls opening citizenship door to Southeast Asia to cope with cross-strait brain drain
Tom Post in a Forbes article - The Great American Brain Drain: Why 24 Million People Quit Their Jobs Every Year wrote
Two million Americans give notice every month. What pushes them to do so -- and what can employers do to staunch the talent drain?
An article in The Chronicle of Higher Education covers the topic
India's Brightest Technology Graduates Begin to Stanch the Brain Drain
An article from The Institute for Research on Public policy entitled The Brain Drain: Myth and Reality? refers to
staunch the outflow
The American Management Association in an article discussing "Dealing with America’s Alarming "Reverse Brain Drain" says
America has two choices—either cultivate its homegrown talent or staunch the exodus of repatriates.
Revered publications such as The Lancet (an independent, international weekly general medical journal founded in 1823 by Thomas Wakley) and Politico, among others, mention "plugging the brain drain" respectively.
National strategies wanted to plug the brain drain
Baltics struggle to plug brain drain
Hemostasis the natural process that stops blood loss when an injury occurs, involves three steps: (1) vascular spasm ( vasoconstriction ); (2) platelet plug formation; and (3) coagulation.
platelet plug formation involves the activation, aggregation, and adherence of platelets into a plug that serves as a barrier against blood flow.